And Santa Clara has to start play at what will feel like 10 PM to their players. EDIT: Wrong! As pointed out below by bigzipguy (whose brain is clearly bigger than mine), it will feel like 4 PM.
I believe there have been studies in basketball that have shown that the most important aspect of home advantage is how far the opponent has to travel.
As for why a 12-1-4 team has to travel, it's because most of those wins were against weak teams.
Still, their biggest win was over Portland, which put a 4-0 beat-down on NIU three days before losing to Santa Clara. Of course, NIU traveled to the west coast to play that game ...
tl;dr: Zips should win, but every team in the tournament has had enough success to be dangerous, including Santa Clara.